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authorupstream source tree <ports@midipix.org>2015-03-15 20:14:05 -0400
committerupstream source tree <ports@midipix.org>2015-03-15 20:14:05 -0400
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+-- CXA5A02.A
+--
+-- Grant of Unlimited Rights
+--
+-- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,
+-- F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained
+-- unlimited rights in the software and documentation contained herein.
+-- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
+-- this public release, the Government intends to confer upon all
+-- recipients unlimited rights equal to those held by the Government.
+-- These rights include rights to use, duplicate, release or disclose the
+-- released technical data and computer software in whole or in part, in
+-- any manner and for any purpose whatsoever, and to have or permit others
+-- to do so.
+--
+-- DISCLAIMER
+--
+-- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
+-- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
+-- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
+-- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
+-- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
+-- PARTICULAR PURPOSE OF SAID MATERIAL.
+--*
+--
+-- OBJECTIVE:
+-- Check that the functions Cos and Cosh provide correct results.
+--
+-- TEST DESCRIPTION:
+-- This test examines both the version of Cos and Cosh resulting from
+-- the instantiation of the Ada.Numerics.Generic_Elementary_Functions
+-- with type derived from type Float, as well as the pre-instantiated
+-- version of this package for type Float.
+-- Prescribed results, including instances prescribed to raise
+-- exceptions, are examined in the test cases. In addition,
+-- certain evaluations are performed where the actual function result
+-- is compared with the expected result (within an epsilon range of
+-- accuracy).
+--
+-- TEST FILES:
+-- The following files comprise this test:
+--
+-- FXA5A00.A (foundation code)
+-- CXA5A02.A
+--
+--
+-- CHANGE HISTORY:
+-- 09 Mar 95 SAIC Initial prerelease version.
+-- 03 Apr 95 SAIC Removed reference to derived type.
+-- 13 Jun 95 SAIC Incorporated use of Dont_Optimize procedure, and
+-- use of Result_Within_Range function overloaded for
+-- FXA5A00.New_Float_Type.
+-- 28 Feb 97 PWB.CTA Removed checks specifying Cycle => 2.0 * Pi
+-- 26 Jun 98 EDS Protected exception checks by first testing
+-- for 'Machine_Overflows. Removed code deleted
+-- by comment.
+-- CHANGE NOTE:
+-- According to Ken Dritz, author of the Numerics Annex of the RM,
+-- one should never specify the cycle 2.0*Pi for the trigonometric
+-- functions. In particular, if the machine number for the first
+-- argument is not an exact multiple of the machine number for the
+-- explicit cycle, then the specified exact results cannot be
+-- reasonably expected. The affected checks have been deleted.
+--!
+
+with Ada.Numerics.Elementary_Functions;
+with Ada.Numerics.Generic_Elementary_Functions;
+with FXA5A00;
+with Report;
+
+procedure CXA5A02 is
+begin
+
+ Report.Test ("CXA5A02", "Check that the functions Cos and Cosh provide " &
+ "correct results");
+
+ Test_Block:
+ declare
+
+ use Ada.Numerics;
+ use FXA5A00;
+
+ package GEF is new Ada.Numerics.Generic_Elementary_Functions(New_Float);
+ package EF renames Ada.Numerics.Elementary_Functions;
+
+ The_Result : Float;
+ New_Float_Result : New_Float;
+
+ procedure Dont_Optimize_Float is new Dont_Optimize(Float);
+ procedure Dont_Optimize_New_Float is new Dont_Optimize(New_Float);
+
+ begin
+
+ -- Testing of Cos Function, both instantiated and pre-instantiated
+ -- version.
+
+ -- Check that no exception occurs on computing the Cos with very
+ -- large (positive and negative) input values.
+
+ begin
+ New_Float_Result := GEF.Cos (New_Float(FXA5A00.Large));
+ Dont_Optimize_New_Float(New_Float_Result, 1);
+ exception
+ when others =>
+ Report.Failed("Unexpected exception on GEF.Cos with large " &
+ "positive value");
+ end;
+
+ begin
+ The_Result := EF.Cos (FXA5A00.Minus_Large);
+ Dont_Optimize_Float(The_Result, 2);
+ exception
+ when others =>
+ Report.Failed("Unexpected exception on GEF.Cos with large " &
+ "negative value");
+ end;
+
+
+ -- Test of Cos for prescribed result at zero.
+
+ if GEF.Cos (0.0) /= 1.0 or
+ EF.Cos (0.0) /= 1.0
+ then
+ Report.Failed("Incorrect value returned from Cos(0.0)");
+ end if;
+
+
+ -- Test of Cos with expected result value between 1.0 and -1.0.
+
+ if not (Result_Within_Range( EF.Cos(Ada.Numerics.Pi/3.0),
+ 0.500,
+ 0.001) and
+ Result_Within_Range(GEF.Cos(0.6166), 0.816, 0.001) and
+ Result_Within_Range(GEF.Cos(0.1949), 0.981, 0.001) and
+ Result_Within_Range( EF.Cos(Ada.Numerics.Pi/2.0),
+ 0.00,
+ 0.001) and
+ Result_Within_Range( EF.Cos(2.0*Ada.Numerics.Pi/3.0),
+ -0.500,
+ 0.001) and
+ Result_Within_Range(GEF.Cos(New_Float(Ada.Numerics.Pi)),
+ -1.00,
+ 0.001))
+ then
+ Report.Failed("Incorrect value returned from Cos function when " &
+ "the expected result is between 1.0 and -1.0");
+ end if;
+
+
+ -- Testing of the Cos function with Cycle parameter.
+
+ -- Check that Argument_Error is raised when the value of the Cycle
+ -- parameter is zero.
+
+ begin
+ New_Float_Result := GEF.Cos (X => 1.0, Cycle => 0.0);
+ Report.Failed("Argument_Error not raised by GEF.Cos function " &
+ "when the Cycle parameter is zero");
+ Dont_Optimize_New_Float(New_Float_Result, 3);
+ exception
+ when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by GEF.cos function " &
+ "when the Cycle parameter is zero");
+ end;
+
+ begin
+ The_Result := EF.Cos (X => 0.55, Cycle => 0.0);
+ Report.Failed("Argument_Error not raised by EF.Cos function when " &
+ "the Cycle parameter is zero");
+ Dont_Optimize_Float(The_Result, 4);
+ exception
+ when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by EF.Cos function " &
+ "when the Cycle parameter is zero");
+ end;
+
+ -- Check that Argument_Error is raised when the value of the Cycle
+ -- parameter is negative.
+
+ begin
+ New_Float_Result := GEF.Cos (X => 0.45, Cycle => -2.0*Pi);
+ Report.Failed("Argument_Error not raised by GEF.Cos function " &
+ "when the Cycle parameter is negative");
+ Dont_Optimize_New_Float(New_Float_Result, 5);
+ exception
+ when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by GEF.Cos function " &
+ "when the Cycle parameter is negative");
+ end;
+
+ begin
+ The_Result := EF.Cos (X => 0.10, Cycle => -Pi/2.0);
+ Report.Failed("Argument_Error not raised by EF.Cos function when " &
+ "the Cycle parameter is negative");
+ Dont_Optimize_Float(The_Result, 6);
+ exception
+ when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Unexpected exception raised by EF.Cos function " &
+ "when the Cycle parameter is negative");
+ end;
+
+ -- Test of Cos with Cycle parameter for prescribed result at zero.
+
+ if GEF.Cos (0.0, 360.0) /= 1.0 or
+ EF.Cos (0.0, 360.0) /= 1.0
+ then
+ Report.Failed("Incorrect value returned from Cos function with " &
+ "cycle parameter for a zero input parameter value");
+ end if;
+
+
+ -- Tests of Cos function with specified Cycle, using various input
+ -- parameter values for prescribed results.
+
+ if GEF.Cos(0.0, 360.0) /= 1.0 or
+ EF.Cos(360.0, 360.0) /= 1.0 or
+ GEF.Cos(90.0, 360.0) /= 0.0 or
+ EF.Cos(270.0, 360.0) /= 0.0 or
+ GEF.Cos(180.0, 360.0) /= -1.0 or
+ EF.Cos(540.0, 360.0) /= -1.0
+ then
+ Report.Failed("Incorrect result from the Cos function with " &
+ "specified cycle for prescribed results");
+ end if;
+
+
+
+ -- Testing of Cosh Function, both instantiated and pre-instantiated
+ -- version.
+
+ -- Test for Constraint_Error on parameter with large positive magnitude.
+
+ begin
+
+ if New_Float'Machine_Overflows then
+
+ New_Float_Result := GEF.Cosh (New_Float(FXA5A00.Large));
+ Report.Failed("Constraint_Error not raised when the GEF.Cosh " &
+ "function is provided a parameter with a large " &
+ "positive value");
+ Dont_Optimize_New_Float(New_Float_Result, 9);
+ end if;
+
+ exception
+ when Constraint_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Constraint_Error not raised when the GEF.Cosh " &
+ "function is provided a parameter with a large " &
+ "positive value");
+ end;
+
+ -- Test for Constraint_Error on parameter with large negative magnitude.
+
+ begin
+
+ if Float'Machine_Overflows then
+ The_Result := EF.Cosh (FXA5A00.Minus_Large);
+ Report.Failed("Constraint_Error not raised when the EF.Cosh " &
+ "function is provided a parameter with a " &
+ "large negative value");
+ Dont_Optimize_Float(The_Result, 10);
+ end if;
+
+ exception
+ when Constraint_Error => null; -- OK, expected exception.
+ when others =>
+ Report.Failed("Constraint_Error not raised when the EF.Cosh " &
+ "function is provided a parameter with a " &
+ "large negative value");
+ end;
+
+
+ -- Test that no exception occurs when the Cosh function is provided a
+ -- very small positive or negative value.
+
+ begin
+ New_Float_Result := GEF.Cosh (New_Float(FXA5A00.Small));
+ Dont_Optimize_New_Float(New_Float_Result, 11);
+ exception
+ when others =>
+ Report.Failed("Unexpected exception on GEF.Cosh with a very" &
+ "small positive value");
+ end;
+
+ begin
+ The_Result := EF.Cosh (-FXA5A00.Small);
+ Dont_Optimize_Float(The_Result, 12);
+ exception
+ when others =>
+ Report.Failed("Unexpected exception on EF.Cosh with a very" &
+ "small negative value");
+ end;
+
+
+ -- Test for prescribed 1.0 result of Function Cosh with 0.0 parameter.
+
+ if GEF.Cosh (0.0) /= 1.0 or
+ EF.Cosh (0.0) /= 1.0
+ then
+ Report.Failed("Incorrect value returned from Cosh(0.0)");
+ end if;
+
+
+ -- Test of Cosh function with various input parameters.
+
+ if not FXA5A00.Result_Within_Range(GEF.Cosh(0.24), 1.029, 0.001) or
+ not FXA5A00.Result_Within_Range( EF.Cosh(0.59), 1.179, 0.001) or
+ not FXA5A00.Result_Within_Range(GEF.Cosh(1.06), 1.616, 0.001) or
+ not FXA5A00.Result_Within_Range( EF.Cosh(1.50), 2.352, 0.001) or
+ not FXA5A00.Result_Within_Range(GEF.Cosh(1.84), 3.228, 0.001) or
+ not FXA5A00.Result_Within_Range( EF.Cosh(3.40), 14.99, 0.01)
+ then
+ Report.Failed("Incorrect result from Cosh function with " &
+ "various input parameters");
+ end if;
+
+
+ exception
+ when others => Report.Failed ("Exception raised in Test_Block");
+ end Test_Block;
+
+ Report.Result;
+
+end CXA5A02;